Total Bending Moment given Unit Stress in Extreme Fiber of Concrete Calculator

✖Unit Stress in Fiber of Concrete is the total force acting in the unit area of the body.ⓘ Unit Stress in Fiber of Concrete [f_{fiber concrete}]			+10% -10%
✖Moment of Inertia of Beam is a moment about the centroidal axis without considering mass.ⓘ Moment of Inertia of Beam [I_A]			+10% -10%
✖Distance from Compression Fiber to NA is the distance from the extreme compression fiber or surface to the neutral axis.ⓘ Distance from Compression Fiber to NA [K_d]			+10% -10%

✖Bending Moment of Considered Section is defined as the sum of moment of all forces acting on one side of the beam or section.ⓘ Total Bending Moment given Unit Stress in Extreme Fiber of Concrete [B_M]

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Formula

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Total Bending Moment given Unit Stress in Extreme Fiber of Concrete

Formula

`"B"_{"M"} = "f"_{"fiber concrete"}*"I"_{"A"}/"K"_{"d"}`

Example

`"49.501kN*m"="49.6MPa"*"10E7mm⁴"/"100.2mm"`

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Total Bending Moment given Unit Stress in Extreme Fiber of Concrete Solution

STEP 0: Pre-Calculation Summary

Formula Used

Bending Moment of Considered Section = Unit Stress in Fiber of Concrete*Moment of Inertia of Beam/Distance from Compression Fiber to NA
B_M = f_{fiber concrete}*I_A/K_d
This formula uses 4 Variables

Variables Used

Bending Moment of Considered Section - (Measured in Newton Meter) - Bending Moment of Considered Section is defined as the sum of moment of all forces acting on one side of the beam or section.
Unit Stress in Fiber of Concrete - (Measured in Pascal) - Unit Stress in Fiber of Concrete is the total force acting in the unit area of the body.
Moment of Inertia of Beam - (Measured in Meter⁴) - Moment of Inertia of Beam is a moment about the centroidal axis without considering mass.
Distance from Compression Fiber to NA - (Measured in Meter) - Distance from Compression Fiber to NA is the distance from the extreme compression fiber or surface to the neutral axis.

STEP 1: Convert Input(s) to Base Unit

Unit Stress in Fiber of Concrete: 49.6 Megapascal --> 49600000 Pascal (Check conversion here)
Moment of Inertia of Beam: 100000000 Millimeter⁴ --> 0.0001 Meter⁴ (Check conversion here)
Distance from Compression Fiber to NA: 100.2 Millimeter --> 0.1002 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

B_M = f_{fiber concrete}*I_A/K_d --> 49600000*0.0001/0.1002

Evaluating ... ...

B_M = 49500.998003992

STEP 3: Convert Result to Output's Unit

49500.998003992 Newton Meter -->49.500998003992 Kilonewton Meter (Check conversion here)

FINAL ANSWER

49.500998003992 ≈ 49.501 Kilonewton Meter <-- Bending Moment of Considered Section

(Calculation completed in 00.004 seconds)

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Osmania University (OU), Hyderabad

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< 9 Check for Stress in Beams Calculators

Moment of Inertia of Transformed Beam Section

Go Moment of Inertia Transformed Beam = (0.5*Beam Width*(Distance from Compression Fiber to NA^2))+2*(Modular Ratio for Elastic Shortening-1)*Area of Compression Reinforcement*(Distance Neutral to Compressive Reinforcing Steel^2)+Modular Ratio for Elastic Shortening*(Distance Neutral to Tensile Reinforcing Steel^2)*Area of Tension Reinforcement

Distance from Neutral Axis to Compressive Reinforcing Steel

Go Distance Neutral to Compressive Reinforcing Steel = Unit Stress in Compressive Reinforcing Steel*Moment of Inertia of Beam/(2*Elasticity Ratio of Steel to Concrete*Bending Moment of Considered Section)

Unit Stress in Compressive Reinforcing Steel

Go Unit Stress in Compressive Reinforcing Steel = 2*Elasticity Ratio of Steel to Concrete*Bending Moment of Considered Section*Distance Neutral to Compressive Reinforcing Steel/Moment of Inertia of Beam

Distance from Neutral Axis to Tensile Reinforcing Steel

Go Distance Neutral to Tensile Reinforcing Steel = Unit Stress in Tensile Reinforcing Steel*Moment of Inertia of Beam/(Elasticity Ratio of Steel to Concrete*Bending Moment of Considered Section)

Unit Stress in Tensile Reinforcing Steel

Go Unit Stress in Tensile Reinforcing Steel = Elasticity Ratio of Steel to Concrete*Bending Moment of Considered Section*Distance Neutral to Tensile Reinforcing Steel/Moment of Inertia of Beam

Total Bending Moment given Unit Stress in Tensile Reinforcing Steel

Go Bending Moment = Unit Stress in Tensile Reinforcing Steel*Moment of Inertia of Beam/(Elasticity Ratio of Steel to Concrete*Distance Neutral to Tensile Reinforcing Steel)

Total Bending Moment given Unit Stress in Extreme Fiber of Concrete

Go Bending Moment of Considered Section = Unit Stress in Fiber of Concrete*Moment of Inertia of Beam/Distance from Compression Fiber to NA

Distance from Neutral Axis to Face of Concrete

Go Distance from Compression Fiber to NA = Unit Stress in Fiber of Concrete*Moment of Inertia of Beam/Bending Moment of Considered Section

Unit Stress in Extreme Fiber of Concrete

Go Unit Stress in Fiber of Concrete = Bending Moment of Considered Section*Distance from Compression Fiber to NA/Moment of Inertia of Beam

Total Bending Moment given Unit Stress in Extreme Fiber of Concrete Formula

Bending Moment of Considered Section = Unit Stress in Fiber of Concrete*Moment of Inertia of Beam/Distance from Compression Fiber to NA
B_M = f_{fiber concrete}*I_A/K_d

Define Bending Moment?

In solid mechanics, a bending moment is the reaction induced in a structural element when an external force or moment is applied to the element, causing the element to bend. The most common or simplest structural element subjected to bending moments is the beam.

How to Calculate Total Bending Moment given Unit Stress in Extreme Fiber of Concrete?

Total Bending Moment given Unit Stress in Extreme Fiber of Concrete calculator uses Bending Moment of Considered Section = Unit Stress in Fiber of Concrete*Moment of Inertia of Beam/Distance from Compression Fiber to NA to calculate the Bending Moment of Considered Section, The Total Bending Moment given Unit Stress in Extreme Fiber of Concrete is defined as the reaction induced in a structural element when an external force or moment is applied to the element, causing the element to bend. Bending Moment of Considered Section is denoted by B_M symbol.

How to calculate Total Bending Moment given Unit Stress in Extreme Fiber of Concrete using this online calculator? To use this online calculator for Total Bending Moment given Unit Stress in Extreme Fiber of Concrete, enter Unit Stress in Fiber of Concrete (f_{fiber concrete}), Moment of Inertia of Beam (I_A) & Distance from Compression Fiber to NA (K_d) and hit the calculate button. Here is how the Total Bending Moment given Unit Stress in Extreme Fiber of Concrete calculation can be explained with given input values -> 0.0496 = 49600000*0.0001/0.1002.

FAQ

What is Total Bending Moment given Unit Stress in Extreme Fiber of Concrete?

The Total Bending Moment given Unit Stress in Extreme Fiber of Concrete is defined as the reaction induced in a structural element when an external force or moment is applied to the element, causing the element to bend and is represented as B_M = f_{fiber concrete}*I_A/K_d or Bending Moment of Considered Section = Unit Stress in Fiber of Concrete*Moment of Inertia of Beam/Distance from Compression Fiber to NA. Unit Stress in Fiber of Concrete is the total force acting in the unit area of the body, Moment of Inertia of Beam is a moment about the centroidal axis without considering mass & Distance from Compression Fiber to NA is the distance from the extreme compression fiber or surface to the neutral axis.

How to calculate Total Bending Moment given Unit Stress in Extreme Fiber of Concrete?

The Total Bending Moment given Unit Stress in Extreme Fiber of Concrete is defined as the reaction induced in a structural element when an external force or moment is applied to the element, causing the element to bend is calculated using Bending Moment of Considered Section = Unit Stress in Fiber of Concrete*Moment of Inertia of Beam/Distance from Compression Fiber to NA. To calculate Total Bending Moment given Unit Stress in Extreme Fiber of Concrete, you need Unit Stress in Fiber of Concrete (f_{fiber concrete}), Moment of Inertia of Beam (I_A) & Distance from Compression Fiber to NA (K_d). With our tool, you need to enter the respective value for Unit Stress in Fiber of Concrete, Moment of Inertia of Beam & Distance from Compression Fiber to NA and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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